Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 25

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. mutandove A. F ad BG3, HOC CRUFP ad O ita F P adK MI: de.
  2. inde uEC: I 3d ZMI, hOC CAF UE P ad Q ica Pl ad L MI, quod HC
  3. probo, rario Cl ad ZM componitur ex rarione C IadD L. de
  4. DZ adZ. M, _ rario FI ad L. M componitur ex ratione FI ad
  5. HIL. (eu C Iad D Z _c FTL ad LM PcuDZ. ad ZM, ee proinde
  6. UE EIad RM itA FI ad L M, Se permutando ut FI ad FI ITA RM
  7. ad L.MI; Sed quoniam supponimus EI cadere inera curvam,
  8. TEM eric minor quam LM. Sc proinde FI minor erie quam Fl
  9. quod ect absurdum; de ideo recta DMI RON CAdCE INEFA CUF-
  10. ram verlus verricem: cadac (C heri poMie) inera vertus ba-
  11. sem, nempe producta in puncto V. AI CsE ad N M uc P adC
  12. _ AO eA ad R P uc P ad B, de ideo AI es ad NM uE AO ad
  13. RT, eE permutando AI CK ad A O UENIM adRT, e uc A Iad
  14. TOIca EYML ad XI, BE perMUEaNdOHE A I adN MI SCU VE P ad
  15. Oita IO adXT: deinde vE C I adZMI SCN P 2d OITA LS adX V
  16. (quod probarur hicur in priore pasitione) de proinde ucIO
  17. ad XT ica IS ad XV, ee permurandour IO adISIEAXI aNXV;
  18. Led (quoniam supponimus V cadere inera curram) crit X I
  19. maior quam XV; e proinde IO maior erie quam lS, quod elt
  20. absurdum, non ergo cadic recta DM inera curvam, verlus Fhoz
  21. balem, de proinde currum tansie in puncto MI, quod demon. Ius.
  22. Arare oporruit.
  23. Per hanc proposicionem porest curra, cuinscunqe superhciei
  24. erunci exlindrici recti expansae in planum, comparari cum
  25. eiuldem exe vel bale ope huius2, limodo posie ducirecta
  26. CanGCAS Balm CylindeICI i punCtO auTO.
  27. PROF. 10. ZHEORP M M.
  28. TC CHDA GeCunquE AD e recta quecunque BNI: ducan-
  29. tur Ex duobus currae punstis quivuscunque A, I dux
  30. rectae parallelae ad rectam BN, nempe AB, IE, dE iunGLEUF
  31. AD rectaproducta in FI, ducancurque D Ci, A HB reCtB CUE
  32. am rangenses in punctis A, D: deinde complcanturparalle
  33. ha-

Cite

[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 25. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0109?run=74